Answer:
Correct option: B
Step-by-step explanation:
To find how many times the quadratic equation crosses the x-axis, we just need to find the roots of the function (that is, the values of x that implies y = 0):
y = x^2+ 4x + 3
x^2+ 4x + 3 = 0 -> a=1, b=4 and c=3
x = (-b ± √(b2-4ac)) / 2a
x1 = (-4 + √(16-12)) / 2 = (-4 + 2) /2 = -1
x2 = (-4 - √(16-12)) / 2 = (-4 - 2) /2 = -3
So we know that this function has two roots, so it intercepts the x-axis in two points (that is, twice).
Correct option: B
